The price of fuel decreases by 45%, 55% and 50% in three successive months, but increases by 40% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price? (Round off the answer to two decimal places.)
Decreases by 82.68%
Let the original price be 1 unit. Each percentage change multiplies the price by a factor.
Decrease of 45% multiplies by \(0.55\); decrease of 55% multiplies by \(0.45\); decrease of 50% multiplies by \(0.50\).
Increase of 40% in the fourth month multiplies by \(1.40\).
Final price = \(1\times0.55\times0.45\times0.50\times1.40\).
= \(0.55\times0.45=0.2475\); then \(0.2475\times0.50=0.12375\); then \(0.12375\times1.40=0.17325\).
Net change = \(0.17325-1=-0.82675\), i.e. a decrease of \(82.675\%\approx82.68\%\).
Hence, the price decreases by 82.68% compared to the original price.
Similar Questions
In a test, B got 50 marks while A got 75 marks, out of 110 maximum marks. What percentage of A's marks was B's marks? (Round off your answer to two decimal places.)
The price of fuel decreases by 40%, 15% and 45% in three successive months, but increases by 70% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price? (Round off your answer to two decimal places)
If 40% of 10% of \(\dfrac{1}{3}\) of a number is 477, find the number.
A person who spends 75% of his monthly income is able to save ₹4,827 per month. His monthly expenses (in ₹) are:
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
